Friday, July 24, 2015

GATEWAY TO CGL MAINS 2015 : Quant Quiz

Directions (01-05): The pie-chart provided below gives the distribution of land (in a village) under various food crops. Study the pie chart carefully and answer the questions from 01 to 05.


1.If the total area under bajra was three hundred acres, then the total area (in hundred acres) under Rice and Barley together is. 
(a) 18
(b) 12
(c) 15
(d) 13

2.The combination of three crops which contribute to more than 50% of the total area under the good crops is  
(a) wheat, rice and maize 
(b) wheat, rice and jowar 
(c) wheat, rice and bajra 
(d)rice, barley and maize. 

3.The ratio of the land used for rice and barley is -
(a) 3 : 2
(b) 1 : 2
(c) 2 : 1
(d) 3 : 1

4.If 10% of the land reserved for rice be distributed to wheat and barley in the ratio 2 : 1, then the angle corresponding to wheat in the new pie-chart will be-
(a) 38.40
(b) 76.80
(c) 75.60
(d) 45.50

5.If the production of rice is 5 times that of Jowar and the production of Jowar is 2 times that of Bajra, then the ratio between the yield per acre of rice and Bajra is - 
(a)  5 : 2
(b)  3 : 1
(c)  4 : 1
(d)  6 : 1
Directions (06-10): In the following table the number of students passed in different subjects is given.

6.What per cent of students passed in Science in 2001?
(a) 23 1⁄3 %
(b) 21 1⁄9 %
(c) 22 1⁄3 %
(d) 27 1⁄9 %

7.What is the average Commerce students passed in 2001-2005?
(a) 101
(b) 103
(c) 105
(d) 106

8.In which year percentage of students passed in Science is more than the total percentage of passed in Art and Commerce together?
(a) 2001 and 2003
(b) 2003
(c) 2001 and 2005
(d) 2003 and 2005

9.What is the ratio of total students and total passed students in 2003?
(a) 40 : 21
(b) 41 : 21
(c) 44 : 23
(d) 44 : 21

10.In which year minimum percentage of students failed?
(a) 2001
(b) 2002
(c) 2003
(d) 2004

1.(a) 180 area under Bajra = 300 acre
=> 720 + 360 area under Rice & Barley = 300/18×(720+360)
= 300/18×108
= 18 hundred Acres.

2.(a) : It is clear from the pie chart that wheat,
rice and maize contribute to more than 50% of the total area.

3.(c) : Ratio of the land used for rice & barley
= 720 : 360
= 720/360 : 360/3600
= 2 : 1

4.(b) : 10% of land reserved for rice =
10% of 720  = 10/100× 720 = 7.20
7.20 is distributed among wheat & barley in ratio = 2 : 1
2n + n = 7.20
3n = 7.20
n =2.40
distribution of land among wheat & barley will be 4.80 and 2.40 resp.
∴ The corresponding angle to wheat in new pie chart will be 72 + 4.80. = 76.80

5.(a) : Let the total production of Bajra be T tones and let Z acres of land
be put under Bajra production.
Then, the total production of Bajra =(T) tones.
Production of Jowar = 2T
And Production of Rice = 10T
Then, Area under Rice production = 4Z (Area Under Rice Production /Area Under Bajra Production
=> 72/18 = 4)
And therefore,Area under Rice = 4*Area under Bajra = (4Z)acres
Now, yield per acre for Rice = (10T/4Z) tones/acre = (5T/2Z) tones/acre
And yield per acre for Bajra = (T/Z) tones/acre
Require ratio = 5T/2Z/T/Z = 5 : 2
6.(a)
7.(d);
Average = (115+100+110+121+84)= 530/5= 106
8.(c)
9.(b);
Ratio = (820/420)  = 41 : 21
10.(c);
48.78% failed.

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